composition of the subgroup

composition of the subgroup
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  • Composition series — In abstract algebra, a composition series provides a way to break up an algebraic structure, such as a group or a module, into simple pieces. The need for considering composition series in the context of modules arises from the fact that many… …   Wikipedia

  • Subgroup series — In mathematics, a subgroup series is a chain of subgroups: Subgroup series can simplify the study of a group to the study of simpler subgroups and their relations, and several subgroup series can be invariantly defined and are important… …   Wikipedia

  • Subgroup growth — Im mathematics, subgroup growth is a branch of group theory, dealing with quantitative questions about subgroups of a given group. [citebook|title=Subgroup Growth|author=Alexander Lubotzky, Dan Segal|year=2003|publisher=Birkhäuser|id=ISBN… …   Wikipedia

  • Characteristic subgroup — In mathematics, particularly in the area of abstract algebra known as group theory, a characteristic subgroup is a subgroup that is invariant under all automorphisms of the parent group.[1][2] Because conjugation is an automorphism, every… …   Wikipedia

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  • Rubik's Cube group — The Rubik s Cube provides a tangible representation of a mathematical group. The Rubik s Cube group can be thought of as the set of all cube operations with function composition as the group operation. Any set of operations which returns the cube …   Wikipedia

  • Schur–Zassenhaus theorem — The Schur–Zassenhaus theorem is a theorem in group theory which states that if G is a finite group, and N is a normal subgroup whose order is coprime to the order of the quotient group G/N, then G is a semidirect product of N and G/N.An… …   Wikipedia

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  • Rigveda — The Rigveda (Sanskrit sa. ऋग्वेद IAST|ṛgveda , a compound of IAST|ṛc praise, verse [derived from the root IAST|ṛc to praise , cf. Dhātupātha 28.19. Monier Williams translates a Veda of Praise or Hymn Veda ] and IAST|veda knowledge ) is an ancient …   Wikipedia

  • Nutrition — The Nutrition Facts table indicates the amounts of nutrients which experts recommend to limit or consume in adequate amounts. Nutrition (also called nourishment or aliment) is the provision, to cells and organisms, of the materials necessary (in… …   Wikipedia


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